Possible $D\bar{D}$ and $B\bar{B}$ Molecular states in a chiral quark model

TL;DR

This paper investigates the potential for molecular bound states of D and B meson pairs using a chiral quark model, finding attractive interactions that could lead to bound states with specific quantum numbers.

Contribution

It provides a systematic analysis of D and B meson pair interactions within a chiral quark model, predicting possible molecular bound states.

Findings

Both Dar{D} and Bar{B} interactions are attractive.

Predicted bound states with quantum numbers I^G(J^{PC})=0^+(0^{++}).

Results suggest existence of molecular states in these systems.

Abstract

We perform a systematic study of the bound state problem of $D\bar{D}$ and $B\bar{B}$ systems by using effective interaction in our chiral quark model. Our results show that both the interactions of $D\bar{D}$ and $B\bar{B}$ states are attractive, which consequently result in $I^G(J^{PC})=0^+(0^{++})$ $D\bar{D}$ and $B\bar{B}$ bound states.